Growing Least Squares for the Analysis of Manifolds in Scale-Space
hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
hal.structure.identifier | Melting the frontiers between Light, Shape and Matter [MANAO] | |
dc.contributor.author | MELLADO, Nicolas | |
hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
hal.structure.identifier | Melting the frontiers between Light, Shape and Matter [MANAO] | |
hal.structure.identifier | Laboratoire Photonique, Numérique et Nanosciences [LP2N] | |
dc.contributor.author | GUENNEBAUD, Gaël | |
hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
hal.structure.identifier | Melting the frontiers between Light, Shape and Matter [MANAO] | |
hal.structure.identifier | Laboratoire Photonique, Numérique et Nanosciences [LP2N] | |
dc.contributor.author | BARLA, Pascal | |
hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
hal.structure.identifier | Melting the frontiers between Light, Shape and Matter [MANAO] | |
dc.contributor.author | REUTER, Patrick | |
hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
hal.structure.identifier | Melting the frontiers between Light, Shape and Matter [MANAO] | |
dc.contributor.author | SCHLICK, Christophe | |
dc.date.accessioned | 2023-05-12T11:01:28Z | |
dc.date.available | 2023-05-12T11:01:28Z | |
dc.date.issued | 2012-07-18 | |
dc.identifier.issn | 0167-7055 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/182046 | |
dc.description.abstractEn | We present a novel approach to the multi-scale analysis of point-sampled manifolds of co-dimension 1. It is based on a variant of Moving Least Squares, whereby the evolution of a geometric descriptor at increasing scales is used to locate pertinent locations in scale-space, hence the name "Growing Least Squares". Compared to existing scale-space analysis methods, our approach is the first to provide a continuous solution in space and scale dimensions, without requiring any parametrization, connectivity or uniform sampling. An important implication is that we identify multiple pertinent scales for any point on a manifold, a property that had not yet been demonstrated in the literature. In practice, our approach exhibits an improved robustness to change of input, and is easily implemented in a parallel fashion on the GPU. We compare our method to state-of-the-art scale-space analysis techniques and illustrate its practical relevance in a few application scenarios. | |
dc.description.sponsorship | Semi-automatique 3D Acquisition et Réassemblage du Patrimoine - ANR-09-CORD-0019 | |
dc.language.iso | en | |
dc.publisher | Wiley | |
dc.title.en | Growing Least Squares for the Analysis of Manifolds in Scale-Space | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1111/j.1467-8659.2012.03174.x | |
dc.subject.hal | Informatique [cs]/Géométrie algorithmique [cs.CG] | |
dc.subject.hal | Informatique [cs]/Multimédia [cs.MM] | |
dc.description.sponsorshipEurope | Virtual Museum Transnational Network | |
bordeaux.journal | Computer Graphics Forum | |
bordeaux.page | 1691-1701 | |
bordeaux.volume | 31 | |
bordeaux.hal.laboratories | Laboratoire Photonique, Numérique et Nanosciences (LP2N) - UMR 5298 | * |
bordeaux.issue | 5 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00713678 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00713678v1 | |
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